Symplectic resolutions for coverings of nilpotent orbits

Let $\text{O}$ be a nilpotent orbit in a semisimple complex Lie algebra $\text{g}$. Denote by G the simply connected Lie group with Lie algebra $\text{g}$. For a G-homogeneous covering $\text{M→}\text{O}$, let X be the normalization of $\text{O}$ in the function field of M. In this Note, we study the existence of symplectic resolutions for such coverings X. To cite this article: B. Fu, C. R. Acad. Sci. Paris, Ser. I 336 (2003).